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3 years ago

8

a radio station can broadcasts in all directions to a distance of 60 mi. what is the area in which the station can be heard

2 answers:

zaharov [31]3 years ago

4 0

Answer:

Area = PI * radius ^ 2

Area = PI * 60^2

Area = PI * 3,600

Area = 11,309.73 square miles

Step-by-step explanation:

frosja888 [35]3 years ago

4 0

<h2>Answer:</h2>

<u>The station can be heard to </u><u>11304 miles</u>

<h2>Step-by-step explanation:</h2>

Area of circle is given by

<h3>A = π * r² </h3>

Putting the values

A = 3.14 * 60²

Aera = 11304 miles

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Leya [2.2K]

9514 1404 393

Answer:

clockwise
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Step-by-step explanation:

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∆ABC is transformed by a <u> clockwise </u> rotation <u> 90 </u> degrees with a center at the <u> origin </u>.

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3 years ago

A tunnel is 300 feet deep and makes an angle of 30 with the ground .

Goshia [24]

Answer:

$\boxed{C.\:\: 600\:feet}$

Step-by-step explanation:

The tunnel, the ground and the depth of the tunnel form a right angle triangle.

The length of the tunnel is the hypotenuse of the right triangle that has been formed.

Let the length of the tunnel be $m\: feet$ .

Using the sine ratio, we obtain;

$\sin(30\degree)=\frac{Opposite}{Hypotenuse}$

The length of the opposite side is $300\:feet$

We substitute the given values to obtain;

$\sin(30\degree)=\frac{300}{m}$

$\Rightarrow \frac{1}{2}=\frac{300}{m}$

We cross multiply to obtain;

$m=300\times2$

$m=600\:feet$

Therefore the correct answer is C.

4 0

3 years ago

Mrs.Davis bought 6 pounds of grapes for 18 dallors at this rate how much would 72 ounces of grapes have cost

harkovskaia [24]

Answer:

Cost of 72 ounces of grapes is $13.5

Step-by-step explanation:

In order to solve his problem, we first need to get all the values in the same units.

1 pound = 16 ounces

∴ 6 pounds= 16×6 = 96 ounces

Now by unitary method, we solve the question as follows:

price of 96 ounces of grapes = $ 18

price of 1 ounce of grapes = $ (18÷96)

∴ price of 72 ounces of grapes = $ [(18÷96)×72]

= (0.1875×72) = $ 13.5

4 0

3 years ago

Question 6 (Essay Worth 2 points)<br> Find all polar coordinates of point P = (2, 14°).

andrey2020 [161]

Answer:

(2,14°+360n) and (-2,14°+(2n+1)180°)

Step-by-step explanation:

You start out with (2, 14°)

The polar coordinate can be written as (r, 0) = (r, 0+2nπ) or

(r,0)=(-r,0+2(n=1)π), where n is any integer.

The polar coordinates point : p=(r,0) = (2,14°)

For the positive value of r, the polar coordinate can be written as

p=(2,14°) = (2,14°+360n°), where n is any integer.

For the negative value of r , the polar coordinate can be written as

p=(2,14°) = (-2,14°+(2n+1)180°), where n is any integer.

All the polar coordinates of point P are(2,14°+360n) and (-2,14°+(2n+1)180°).

4 0

3 years ago

The population of rabbits in Hoppy Park is currently 26 and growing

Slav-nsk [51]

Answer:

A. f(x) = 26 + 0.05x

B. f(x) = 26 * (1.5)x

c. f(x) = 2(1.05)*

D. f(x) = 26 * (0.95).*

Step-by-step explanation:

3 0

3 years ago